Darboux theory of integrability for a class of nonautonomous vector fields

J. Llibre; Ch Pantazi

doi:10.1063/1.3205450

Darboux theory of integrability for a class of nonautonomous vector fields

J. Llibre, Ch Pantazi

Departament de Matemàtiques

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Resum

The goal of this paper is to extend the classical Darboux theory of integrability from autonomous polynomial vector fields to a class of nonautonomous vector fields. We also provide sufficient conditions for applying this theory of integrability and we illustrate this theory in several examples. © 2009 American Institute of Physics.

Idioma original	Anglès
Número d’article	102705
Revista	Journal of Mathematical Physics
Volum	50
DOIs	https://doi.org/10.1063/1.3205450
Estat de la publicació	Publicada - 10 de nov. 2009

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10.1063/1.3205450

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title = "Darboux theory of integrability for a class of nonautonomous vector fields",

abstract = "The goal of this paper is to extend the classical Darboux theory of integrability from autonomous polynomial vector fields to a class of nonautonomous vector fields. We also provide sufficient conditions for applying this theory of integrability and we illustrate this theory in several examples. {\textcopyright} 2009 American Institute of Physics.",

author = "J. Llibre and Ch Pantazi",

year = "2009",

month = nov,

day = "10",

doi = "10.1063/1.3205450",

language = "English",

volume = "50",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

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T1 - Darboux theory of integrability for a class of nonautonomous vector fields

AU - Llibre, J.

AU - Pantazi, Ch

PY - 2009/11/10

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N2 - The goal of this paper is to extend the classical Darboux theory of integrability from autonomous polynomial vector fields to a class of nonautonomous vector fields. We also provide sufficient conditions for applying this theory of integrability and we illustrate this theory in several examples. © 2009 American Institute of Physics.

AB - The goal of this paper is to extend the classical Darboux theory of integrability from autonomous polynomial vector fields to a class of nonautonomous vector fields. We also provide sufficient conditions for applying this theory of integrability and we illustrate this theory in several examples. © 2009 American Institute of Physics.

U2 - 10.1063/1.3205450

DO - 10.1063/1.3205450

M3 - Article

SN - 0022-2488

VL - 50

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

M1 - 102705

ER -

Darboux theory of integrability for a class of nonautonomous vector fields

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